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Cluster adjacency beyond MHV

Cluster adjacency beyond MHV
Cluster adjacency beyond MHV

We explore further the notion of cluster adjacency, focussing on non-MHV amplitudes. We extend the notion of adjacency to the BCFW decomposition of tree-level amplitudes. Adjacency controls the appearance of poles, both physical and spurious, in individual BCFW terms. We then discuss how this notion of adjacency is connected to the adjacency already observed at the level of symbols of scattering amplitudes which controls the appearance of branch cut singularities. Poles and symbols become intertwined by cluster adjacency and we discuss the relation of this property to the Q¯ -equation which imposes constraints on the derivatives of the transcendental functions appearing in loop amplitudes.

Scattering Amplitudes, Supersymmetric Gauge Theory, Wilson, ’t Hooft and Polyakov loops
1126-6708
1-43
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db
Foster, Jack
375960ff-578f-4309-93ef-4c55cecf76d2
Gürdoğan, Ömer
841de8b6-4eb2-407f-a4c4-c8136403794d

Drummond, James, Foster, Jack and Gürdoğan, Ömer (2019) Cluster adjacency beyond MHV. Journal of High Energy Physics, 2019 (3), 1-43, [86]. (doi:10.1007/JHEP03(2019)086).

Record type: Article

Abstract

We explore further the notion of cluster adjacency, focussing on non-MHV amplitudes. We extend the notion of adjacency to the BCFW decomposition of tree-level amplitudes. Adjacency controls the appearance of poles, both physical and spurious, in individual BCFW terms. We then discuss how this notion of adjacency is connected to the adjacency already observed at the level of symbols of scattering amplitudes which controls the appearance of branch cut singularities. Poles and symbols become intertwined by cluster adjacency and we discuss the relation of this property to the Q¯ -equation which imposes constraints on the derivatives of the transcendental functions appearing in loop amplitudes.

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Drummond 2019 Article Cluster Adjacency Beyond MHV - Version of Record
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More information

Accepted/In Press date: 7 February 2019
e-pub ahead of print date: 15 March 2019
Published date: 15 March 2019
Related URLs:
Keywords: Scattering Amplitudes, Supersymmetric Gauge Theory, Wilson, ’t Hooft and Polyakov loops
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Identifiers

Local EPrints ID: 429543
URI: http://eprints.soton.ac.uk/id/eprint/429543
DOI: doi:10.1007/JHEP03(2019)086
ISSN: 1126-6708
PURE UUID: 6c90ec5e-dc59-4fb7-8671-284fe6007c5f

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Date deposited: 29 Mar 2019 17:30
Last modified: 06 Dec 2024 17:51

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Contributors

Author: James Drummond
Author: Jack Foster
Author: Ömer Gürdoğan

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